Greatest Common Factor of 9691/620, 9724/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9691/620, 9724/890

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9691/620,9724/890

Given fractions are 9691/620,9724/890

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9691,9724

Greatest Common Factor of Numerators i.e. GCF of 9691,9724 is 11 .

LCM of Denominators means LCM of 620,890 as per the given fractions.

LCM of 620,890 is 55180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9691,9724

GCF of Fractions 9691/620,9724/890 is 11/55180

11 9691, 9724
881, 884

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9691,9724 By Matching Biggest Common Factor Method

Greatest Common Factor of 9691,9724 By Matching Biggest Common Factor Method

Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1,11,881,9691

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Greatest Common Factor

We found the factors 9691,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 9691,9724 is 11.

Lets's calculate LCM of 620,890

2 620, 890
5 310, 445
62, 89

∴ So the LCM of the given numbers is 2 x 5 x 62 x 89 = 55180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/55180

Therefore, the GCF of Fractions 9691/620,9724/890 is 11/55180

Least Common Multiple of 620,890 with GCF Formula

Least Common Multiple of 620,890 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 620,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,890) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(620,890) x common factors =10 x 1 = 10

LCM(620,890) = ( 620 × 890 ) / 10

LCM(620,890) = 551800 / 10

LCM(620,890) = 55180


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9691/620, 9724/890

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9691/620, 9724/890?

Answer: GCF of Numerators as per given numbers 9691/620, 9724/890 is

GCF of Numerators i.e. for 9691,9724 is 11

LCM of denominators i.e. for 620,890 is 55180.

Thus, GCF of Fractions is 11/55180.Finally, GCF of Fractions for 9691/620, 9724/890 is 11/55180.